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Finding the Third Proportional to 12,032,396 and 19,752,186

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Solution

The third proportional to 12,032,396 and 19,752,186 is: 32,424,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,032,396 : 19,752,186 = 19,752,186 : x
  2. Step 2: Convert to fraction form
    12,032,396/19,752,186 = 19,752,186/x
  3. Step 3: Cross multiply
    12,032,396x = 19,752,186 × 19,752,186
  4. Step 4: Simplify right side
    12,032,396x = 390,148,851,778,596
  5. Step 5: Solve for x
    x = 390,148,851,778,596/12,032,396
  6. Step 6: Final answer
    x = 32,424,867.98

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.